# Question of the Day

## Can you answer today's question?

Next Tests:
10/3 , 11/7

http://sat.collegeboard.org/practice/sat-question-of-the-day
Jul
6
Number Answered 2,223 2,219
4,442 responses
50% correct
See Last Thirty Questions:

Mathematics > Standard Multiple Choice

Read the following SAT test question and then click on a button to select your answer.

, , ,, ...

The first four terms of a sequence are shown above. Which of the following could be the formula that gives the th term of this sequence for all positive integers ?

# You got it!

### Explanation

If a formula gives the th term of the sequence for all positive integers , it must give the th term of the sequence for . If , then and , but the first term of the sequence is , so the general formula cannot be or . Also, if , then and , but the third term of the sequence is , so the general formula cannot be or . However, for , the values of are , , , , respectively. Therefore, the general formula for this sequence could be .

Want to brush up on your skills? Just visit our Practice Questions area.

#### Buy Together, Get \$10 Off

##### Online Course

The online course includes explanations and auto essay scoring for the Study Guide's 10 practice tests.

#### The Official Study Guide for All SAT Subject Tests™:  Second Edition

Get ready for test day with a brand new edition of our best-selling SAT Subject Test Study Guide! Brought to you by the test-maker, this is the ONLY study guide with actual, previously administered tests for all 20 SAT Subjects Tests™ to provide you with the real test-taking experience.

See Inside